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forsale [732]
3 years ago
14

Solve the system. 2x+y = 3 -2y = 14 - 6x

Mathematics
2 answers:
Elena L [17]3 years ago
7 0

For this case we have the following system of equations:

2x + y = 3\\-2y = 14-6x

We clear "y" from the second equation:

y = \frac {14} {- 2} - \frac {6x} {- 2}\\y = -7 + 3x

We substitute in the first equation:

2x + (- 7 + 3x) = 3\\2x-7 + 3x = 3\\5x-7 = 3\\5x = 3 + 7\\5x = 10\\x = \frac {10} {5}\\x = 2

So:

y = -7 + 3x\\y = -7 + 3 (2)\\y = -7 + 6\\y = -1

The solution is: (x, y) :( 2, -1)

Answer:

(x, y) :( 2, -1)

bezimeni [28]3 years ago
5 0

Answer:

The solution is: (2, -1)

Step-by-step explanation:

First we rewrite the second system equation

-2y = 14 - 6x   →   6x-2y=14

Now we have the following system of equations:

2x+y = 3

6x-2y=14

To solve the system multiply the first equation by -3 and add it to the second equation

-6x+-3y = -9

6x-2y=14

--------------------------------------

0-5y=5

y=-1

Now we substitute the value of y in the first equation and solve for x

2x-1 = 3

2x= 4

x= 2

The solution is: (2, -1)

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